WILL GIVE BRAINLIEST

A cylindrical container with a radius of 5 cm and a height of 14 cm is completely filled with liquid. Some of the liquid from the cylindrical container is poured into a cone-shaped container with a radius of 6 cm and a height of 20 cm until the cone-shaped container is completely full. How much liquid remains in the cylindrical container?

Respuesta :

Answer:

575.962 cm³ of liquid is left in the cylindrical container.

Step-by-step explanation:

First, I found the volume of the cylindrical container. Here is my work:

π5² = 78.54

78.54 cm = area

78.54 x 14 = 1099.56 (volume)

Next, I found the volume of the cone-shaped container. Here is my work:

π6² = 78.5398

78.5398 cm = circumference

78.5398 / 3 = 26.1799

26.1799 x 20 = 523.598 (volume)

Lastly, I subtracted the volume of the cone-shaped container from the volume of the cylindrical container. Here is my work.

1099.56 - 523.598 = 575.962 cm³ left in the cylindrical container.

This shows that after pouring some of the liquid from the cylindrical container into the cone-shaped container, with the cone-shaped container completely full, there is 575.962 cm³ of liquid left in the cylindrical container.

Hope this helps! Good luck with future math problems :)

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